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## Answers

We know that the sum of angles of a triangle is 180 degrees so the outer angles of a star = 2 x 180 degrees

= 360 degrees

Hope that helps!!

*In the center is a 5-sided regular polygon (a regular pentagon). The sum of the interior angles of a polygon is gotten by the formula:*

*SUM OF INTERIOR ANGLES = (NUMBER OF SIDES - 2) * 180°*

*For a 5-sided polygon (pentagon) this is (5-2)*180° = 3*180°=540°*

*Since all 5 angles of a regular pentagon are equal, each interior angle of the regular pentagon is 540/5=108*

*Its suppplement is found by subtracting 180°-108°=72°. We'll mark it 72°:*

*That 72° angle is one of the base angles of an isosceles triangle. So we'll mark the other base angle 72° also.*

*Now we can find the angle at the top point of the star by adding the two equal base angles and subtracting from 180°. 72° + 72° = 144° 180° - 144° = 36° So each point of the star is 36°*